The lot is <u>9.2% of the an acre.</u>
<u>Given:</u>
Area of an acre = 4840 sq. yards
Area of lot = 40 by 100 ft = ![40 ]\times 100 = 4,000 $ ft^{2}](https://tex.z-dn.net/?f=40%20%5D%5Ctimes%20100%20%3D%204%2C000%20%24%20ft%5E%7B2%7D)
Convert the area of the lot to feet (
):
<em>Therefore:</em>
Area of lot = 
Percentage occupied by the lot = area of lot / area of acre x 100
The lot therefore is <u>9.2% of the an acre</u>.
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Answer: the total length of the string is 9 meters.
Step-by-step explanation:
The total number of strings that Emily measured is 3.
The length of the first piece of string measures 642 cm.
The length of the second piece of string measures 124 cm.
The length of the third piece of string measures 134 cm.
Therefore, the total length of the 3 pieces of string would be
642 + 124 + 134 = 900 cm.
100 cm = 1 m,
Converting 900 centimeters to meters, it becomes
900/1100 = 9 meters
Answer: The mercury is 38 mi far from sun.
Step-by-step explanation:
Let x denotes the distance ( in mi )between the Sun and Mercury .
Distance from Venus to Sun = x+30.9
Distance from Earth = x+30.9+ 23.6 =x+30.9+ 23.6 =x+54.5
When the total of the distances for these plants from the sun is 199.4 mi.
According to the given statements , we have
[Divide both sides by 3]
Hence, the mercury is 38 mi far from sun.
A) I would make the positive integer x and then form an equation.
x + 30 = x^2 - 12
x + 42 = x^2
0 = x^2 - x - 42 this can be factorised
(x - 7) ( x + 6) Therefore x = 7 or x = -6
Since the question asks for a positive integer the answer is 7.
B) two positive numbers x and y.
X - y = 3
x^2 + y^2 = 117
Use these simultaneous equations to figure out each number.
Rearrange the first equation
x = y + 3
Then substitute it into the second equation.
(y+3)^2 + y^2 = 117
y^2 + 6y + 9 + y^2 = 117
2y^2 + 6y - 108 = 0
then factorise this.
(2y - 12) (y + 9)
This means that y = 6 or y = -9 but it’s 6 because that’s the only positive number.
Use y to find x
x = y + 3
x = 6 + 3
x = 9
So the answers are x = 9 and y = 6.
Answer:
D
Step-by-step explanation:
As the counter clockwise rule is A(x,y) becomes A'(-y,x).
So (1, -6) becomes (6, 1)
Hope it helps you
